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Finding the Fourth Proportional to 6,695.76, 10,040.72 and 2,077.68

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Solution

The fourth proportional to 6,695.76, 10,040.72 and 2,077.68 is: 3,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.76 : 10,040.72 = 2,077.68 : x
  2. Step 2: Convert to fraction form
    6,695.76/10,040.72 = 2,077.68/x
  3. Step 3: Cross multiply
    6,695.76x = 10,040.72 × 2,077.68
  4. Step 4: Simplify right side
    6,695.76x = 20,861,403.13
  5. Step 5: Solve for x
    x = 20,861,403.13/6,695.76
  6. Step 6: Final answer
    x = 3,115.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.